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Adv. Circle Terms

Secant, chord, isoparametric theorem, etc.

Circle the set of all points that are the same distance from a fixed point G C=תּd A=תּr²
Pi The ratio of the circumference to the diameter of any circle תּ=C∕d
Radius The distance from the center to the points on the circle (radius-n/a)
Diameter A line segment drawn through the center of a circle with both endpoints on the circle d=2r
Chord a segment with both endpoints on the circle (chord-n/a)
Tangent a line that touches the circle in one point (tangent-n/a)
Secant A line extended from the ends of a chord (secant-n/a)
Central Angle an angle with its vertex in the center of the circle m(central angle)=m(intercepted minor arc)
Major Arc the arc that is "outside" a central angle; more than 180 degrees m(major arc)=360-m(minor arc)
Minor Arc the arc "within" an angle (minor arc-n/a)
Concentric Circles circles that share a center (like a target) A(area between concentric circles)=A(larger circle)-A(smaller circle)
Inscribed Angle an angle with its vertex on the circle and whose sides intersect the circle m(Inscribed angle)=(1∕2)m(intercepted arc)
Intercepted Arc The arc "trapped inside" an inscribed or central angle (intercepted arc-n/a)
Semicircle The endpoints of any diameter divide a circle into two congruent arcs; each arc is called a _____ m(semicircle)=180 degrees
Tangent/Radius Theorem Any tangent of a circle is perpendicular to a radius of the circle where they intersect m(angle between tangent and touching radius)=90 degrees
Diameter/Chord Theorem If a diameter bisects a chord, then it is perpendicular to the chord/vice versa If diameter bisects chord AB at C, then AB=AC and all angles are 90 degrees
Diameter Right Angle Theorem Any angle inscribed to catch a 180 degree angle is a right angle. (diameter right angle theorem-n/a)
Volume of a Prism/Cylinder Volume of a prism is the base area times the height. V=Bh
Volume of a Pyramid/Cone Volume of a Pyramid/cone is one third of the base area times the height V=1∕3 Bh
Oblique Pyramid/Prism Pyramids wth the vertex not directly above the center of the base Same as for right pyramid/prism
Area of a Segment The area between a chord and the circle A(segment)=A(sector)-A("wedged" triangle)
Isoparametric Theorem For a given perimeter, the shape with the most area is a circle (isoparametric theorem-n/a)
Sector The pie-shaped wedge defined by a central angle and its arc A(sector)=A(circle)∙(m(angle/arc)∕360 degrees)
Created by: orngjce223